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96666801660 = 22325111323269607
BaseRepresentation
bin101101000000111001…
…0100101010111111100
3100020111212122022201100
41122001302211113330
53040433200123120
6112224053013100
76661331154042
oct1320162452774
9306455568640
1096666801660
1137aa5986930
1216899624190
1391670a5730
1449704c2392
1527ab7ca490
hex1681ca55fc

96666801660 has 576 divisors, whose sum is σ = 361393643520. Its totient is φ = 20580341760.

The previous prime is 96666801659. The next prime is 96666801689. The reversal of 96666801660 is 6610866669.

It is a happy number.

96666801660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 96666801597 and 96666801606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159253077 + ... + 159253683.

It is an arithmetic number, because the mean of its divisors is an integer number (627419520).

Almost surely, 296666801660 is an apocalyptic number.

96666801660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96666801660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180696821760).

96666801660 is an abundant number, since it is smaller than the sum of its proper divisors (264726841860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96666801660 is a wasteful number, since it uses less digits than its factorization.

96666801660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 96666801660 in words is "ninety-six billion, six hundred sixty-six million, eight hundred one thousand, six hundred sixty".